We explore the potential of nanocrystals (a term used
equivalently
to nanoparticles) as building blocks for nanomaterials, and the current
advances and open challenges for fundamental science developments
and applications. Nanocrystal assemblies are inherently multiscale,
and the generation of revolutionary material properties requires a
precise understanding of the relationship between structure and function,
the former being determined by classical effects and the latter often
by quantum effects. With an emphasis on theory and computation, we
discuss challenges that hamper current assembly strategies and to
what extent nanocrystal assemblies represent thermodynamic equilibrium
or kinetically trapped metastable states. We also examine dynamic
effects and optimization of assembly protocols. Finally, we discuss
promising material functions and examples of their realization with
nanocrystal assemblies.